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Finding the Fourth Proportional to 422,828.28, 634,335.71 and 123,332.30

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Solution

The fourth proportional to 422,828.28, 634,335.71 and 123,332.30 is: 185,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,828.28 : 634,335.71 = 123,332.30 : x
  2. Step 2: Convert to fraction form
    422,828.28/634,335.71 = 123,332.30/x
  3. Step 3: Cross multiply
    422,828.28x = 634,335.71 × 123,332.30
  4. Step 4: Simplify right side
    422,828.28x = 78,234,081,601.84
  5. Step 5: Solve for x
    x = 78,234,081,601.84/422,828.28
  6. Step 6: Final answer
    x = 185,025.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.